Function spaces | Sobolev spaces | Fourier analysis | Fractional calculus
In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense to make the space complete, i.e. a Banach space. Intuitively, a Sobolev space is a space of functions possessing sufficiently many derivatives for some application domain, such as partial differential equations, and equipped with a norm that measures both the size and regularity of a function. Sobolev spaces are named after the Russian mathematician Sergei Sobolev. Their importance comes from the fact that weak solutions of some important partial differential equations exist in appropriate Sobolev spaces, even when there are no strong solutions in spaces of continuous functions with the derivatives understood in the classical sense. (Wikipedia).
Space Power Stations, Robots, Space Life Structures: Future of Russian Space
Future of Russian Space Program: Reflectors that light up Siberia, Solar Power Stations in orbit, Robots to help build large space structures and the International Space Station. An interview with Vladislav Rutkovsky - pioneer in Soviet space program and repected Control Engineer. Russia
From playlist Russian Engineering
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
A01 An introduction to a series on space medicine
A new series on space medicine.
From playlist Space Medicine
7 Orbits with the Soyuz Globus Mechanical Computer #Short #InTheWrongOrientation
See full video and explanation on @CuriousMarc
From playlist Soyuz Globus Mechanical Space Nav Computer
Ask the Space Lab Expert: What is Space?
Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!
From playlist What is Space? YouTube Space Lab with Liam and Brad
The remote 'democratic' oasis of Soviet Russia - BBC REEL
The academic town of Akademgorodok in Siberia was created by Russian mathematician Mikhaïl Alekseïevitch Lavrentiev, who wanted to install a safe haven for scientists in the middle of Siberia. Such isolation from Moscow created a fertile scientific and cultural nest away from the influence
From playlist Secret Worlds
Buran: The Space Shuttle That Almost Was
Did you know the Soviet Union had its own Space Shuttle? Learn all about the Buran, what happened to it, and what innovations set it apart from its NASA counterpart. Hosted by: Hank Green ---------- Like SciShow? Want to help support us, and also get things to put on your walls, cover you
From playlist Space Dose - SciShow Space
The Amazing Cosmic Discovery That Almost Was
SciShow Space News revisits one of the biggest (potential) astronomical discoveries of 2014, one that promised to revolutionize our understanding of the formation of the universe. Turns out, we’re not quite there yet. Hosted by: Hank Green ---------- Like SciShow? Want to help support us,
From playlist Space News - SciShow Space
In visual computing, point locations are often optimized using a "repulsive" energy, to obtain a nice uniform distribution for tasks ranging from image stippling to mesh generation to fluid simulation. But how do you perform this same kind of repulsive optimization on curves and surfaces?
From playlist Repulsive Videos
Alexandre Boritchev: Adding small viscosity to hyperbolic (stochastic) conservation laws
The mechanism responsible for blow-up is well-understood for many hyperbolic conservation laws. Indeed, for a whole class of problems including the Burgers equation and many aggregation-diffusion equations such as the 1D parabolic-elliptic Keller-Segel system, the time and nature
From playlist Partial Differential Equations
Cornelia Schneider: Regularity in Besov spaces of parabolic PDEs
HYBRID EVENT This talk is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific scales $\ B^{r}_{\tau,\tau}, \ \frac{1}{\tau}=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces. The regularity in these spaces deter
From playlist Analysis and its Applications
Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms - Gerard Misiolek
Gerard Misiolek University of Notre Dame; Institute for Advanced Study October 19, 2011 In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geome
From playlist Mathematics
Anton Savin: Index problem for elliptic operators associated with group actions and ncg
Given a group action on a manifold, there is an associated class of operators represented as linear combinations of differential operators and shift operators along the orbits. Operators of this form appear in noncommutative geometry and mathematical physics when describing nonlocal phenom
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Alessio Figalli - Quantitative Stability in Geometric and Functional Inequalities - IPAM at UCLA
Recorded 08 February 2022. Alessio Figalli of ETH Zurich presents "Quantitative Stability in Geometric and Functional Inequalities" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: Geometric and functional inequalities play a crucial role in several problems
From playlist Workshop: Calculus of Variations in Probability and Geometry
Liangbing Luo (U Conn) -- Logarithmic Sobolev Inequalities on Non-isotropic Heisenberg Groups
A Heisenberg group is the simplest non-trivial example of a sub-Riemannian manifold. In this talk, we will discuss the dimension (in)dependence of the constants in logarithmic Sobolev inequalities on non-isotropic Heisenberg groups. In this setting, a natural Laplacian is not an elliptic b
From playlist Northeastern Probability Seminar 2020
Miroslav Englis: Analytic continuation of Toeplitz operators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications
St. Petersburg Part Deux: Famous Landmarks | The Coolest Stuff on the Planet
In part two of their series on St. Petersburg, Matt and Rachel admire some more of the Coolest Stuff that Russia's former capital has to offer. In this case, some truly amazing architecture and famous landmarks.
From playlist The Coolest Stuff on the Planet
NAKANISHI Kenji - Wellposedness and scattering for the Zakharov system in four dimensions
This is joint work with Ioan Bejenaru, Zihua Guo and Sebastian Herr. We consider the Cauchy problem for the Zakharov system in four space dimensions, extending the local wellposedness by Ginibre, Tsutsumi and Velo to wider range of Sobolev exponents, together with scattering f
From playlist Trimestre "Ondes Non Linéaires" - May Conference
David Ambrose: "Existence theory for nonseparable mean field games in Sobolev spaces"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Existence theory for nonseparable mean field games in Sobolev spaces" David Ambrose - Drexel University Abstract: We will describe some existence results for the mean field games PDE system with n
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Yakov Zel'dovich and Cosmology - Rashid Sunyaev
Renowned physicist Rashid Sunyaev delivers a talk on the life and work of Yakov Zel'dovich, his longtime collaborator, mentor, and friend, during the launch of the Centre for the Universe at Perimeter Institute on Monday, November 20, 2017. Read more about the Centre here: http://bit.ly/
From playlist Cosmology